feat: 메인 화면에 정식 기수 표시

app/game-engine/src/scenario/scenarioSeeder.ts

@@ -323,9 +323,6 @@ export const seedScenarioToDatabase = async (options: ScenarioSeedOptions): Prom
             options: install.autorunUser.options,
         };
     }
-    const archivedWorldMeta = { ...worldMeta };
-    delete archivedWorldMeta.hiddenSeed;
-
     await connector.connect();
     try {
         const result: ScenarioSeedResult = { seed, warnings, applied: true };
@@ -383,6 +380,20 @@ export const seedScenarioToDatabase = async (options: ScenarioSeedOptions): Prom
                     await prisma.worldState.deleteMany();
                 }
 
+                const serverId = typeof worldMeta.serverId === 'string' ? worldMeta.serverId : undefined;
+                const completedGameCount = await prisma.gameHistory.count({
+                    where: {
+                        status: 'COMPLETED',
+                        ...(serverId ? { serverId: { not: serverId } } : {}),
+                    },
+                });
+                // Ref fixes server_cnt once during ResetHelper initialization. Keep the
+                // frequently rendered game index in the same persisted read model and
+                // exclude abandoned or unfinished rows from the official sequence.
+                worldMeta.gameIdx = completedGameCount + 1;
+                const archivedWorldMeta = { ...worldMeta };
+                delete archivedWorldMeta.hiddenSeed;
+
                 await prisma.worldState.create({
                     data: {
                         scenarioCode: String(options.scenarioId),

app/game-engine/test/scenarioSeeder.test.ts

@@ -128,6 +128,58 @@ describeDb('scenario database seed', () => {
         }
     });
 
+    test('persists the next official game index without counting cancelled or unfinished games', async () => {
+        const marker = `scenario-seeder-game-index-${Date.now()}`;
+        const connector = createGamePostgresConnector({ url: databaseUrl });
+        await connector.connect();
+        try {
+            const completedBefore = await connector.prisma.gameHistory.count({ where: { status: 'COMPLETED' } });
+            await connector.prisma.gameHistory.createMany({
+                data: [
+                    {
+                        serverId: `${marker}-completed`,
+                        date: new Date('2026-08-01T00:00:00.000Z'),
+                        season: 1,
+                        scenario: 1010,
+                        scenarioName: '정상 종료 fixture',
+                        status: 'COMPLETED',
+                    },
+                    {
+                        serverId: `${marker}-abandoned`,
+                        date: new Date('2026-08-02T00:00:00.000Z'),
+                        season: 1,
+                        scenario: 1010,
+                        scenarioName: '취소 fixture',
+                        status: 'ABANDONED',
+                    },
+                    {
+                        serverId: `${marker}-open`,
+                        date: new Date('2026-08-03T00:00:00.000Z'),
+                        season: 1,
+                        scenario: 1010,
+                        scenarioName: '미완료 fixture',
+                        status: 'OPEN',
+                    },
+                ],
+            });
+
+            await seedScenarioToDatabase({
+                scenarioId: 1010,
+                databaseUrl,
+                installOptions: { serverId: marker },
+            });
+
+            const worldState = await connector.prisma.worldState.findFirstOrThrow();
+            expect(worldState.meta).toMatchObject({ gameIdx: completedBefore + 2 });
+            await expect(
+                connector.prisma.gameHistory.findUniqueOrThrow({ where: { serverId: marker } })
+            ).resolves.toMatchObject({ status: 'OPEN' });
+        } finally {
+            await connector.prisma.gameHistory.deleteMany({ where: { serverId: { startsWith: marker } } });
+            await connector.disconnect();
+        }
+    });
+
     test('writes scenario data into tables', async () => {
         const { seed } = await seedScenarioToDatabase({
             scenarioId,